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Simplifying 4(z + -6x + 8) + -6(z + 3X + -5) = 0 Reorder the terms: 4(8 + -6x + z) + -6(z + 3X + -5) = 0 (8 * 4 + -6x * 4 + z * 4) + -6(z + 3X + -5) = 0 (32 + -24x + 4z) + -6(z + 3X + -5) = 0 Reorder the terms: 32 + -24x + 4z + -6(-5 + 3X + z) = 0 32 + -24x + 4z + (-5 * -6 + 3X * -6 + z * -6) = 0 32 + -24x + 4z + (30 + -18X + -6z) = 0 Reorder the terms: 32 + 30 + -18X + -24x + 4z + -6z = 0 Combine like terms: 32 + 30 = 62 62 + -18X + -24x + 4z + -6z = 0 Combine like terms: 4z + -6z = -2z 62 + -18X + -24x + -2z = 0 Solving 62 + -18X + -24x + -2z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -18X + -24x + -62 + -2z = 0 + -62 Reorder the terms: 62 + -62 + -18X + -24x + -2z = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -18X + -24x + -2z = 0 + -62 -18X + -24x + -2z = 0 + -62 Combine like terms: 0 + -62 = -62 -18X + -24x + -2z = -62 Add '24x' to each side of the equation. -18X + -24x + 24x + -2z = -62 + 24x Combine like terms: -24x + 24x = 0 -18X + 0 + -2z = -62 + 24x -18X + -2z = -62 + 24x Add '2z' to each side of the equation. -18X + -2z + 2z = -62 + 24x + 2z Combine like terms: -2z + 2z = 0 -18X + 0 = -62 + 24x + 2z -18X = -62 + 24x + 2z Divide each side by '-18'. X = 3.444444444 + -1.333333333x + -0.1111111111z Simplifying X = 3.444444444 + -1.333333333x + -0.1111111111z
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