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Simplifying 4(2z + -8) + -2 = 4(x + -3) + 2 Reorder the terms: 4(-8 + 2z) + -2 = 4(x + -3) + 2 (-8 * 4 + 2z * 4) + -2 = 4(x + -3) + 2 (-32 + 8z) + -2 = 4(x + -3) + 2 Reorder the terms: -32 + -2 + 8z = 4(x + -3) + 2 Combine like terms: -32 + -2 = -34 -34 + 8z = 4(x + -3) + 2 Reorder the terms: -34 + 8z = 4(-3 + x) + 2 -34 + 8z = (-3 * 4 + x * 4) + 2 -34 + 8z = (-12 + 4x) + 2 Reorder the terms: -34 + 8z = -12 + 2 + 4x Combine like terms: -12 + 2 = -10 -34 + 8z = -10 + 4x Solving -34 + 8z = -10 + 4x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 8z = -10 + 34 + 4x Combine like terms: -34 + 34 = 0 0 + 8z = -10 + 34 + 4x 8z = -10 + 34 + 4x Combine like terms: -10 + 34 = 24 8z = 24 + 4x Divide each side by '8'. z = 3 + 0.5x Simplifying z = 3 + 0.5x
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