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Simplifying 4(6z + -1) + -3(z + 4) = 16(z + 1) Reorder the terms: 4(-1 + 6z) + -3(z + 4) = 16(z + 1) (-1 * 4 + 6z * 4) + -3(z + 4) = 16(z + 1) (-4 + 24z) + -3(z + 4) = 16(z + 1) Reorder the terms: -4 + 24z + -3(4 + z) = 16(z + 1) -4 + 24z + (4 * -3 + z * -3) = 16(z + 1) -4 + 24z + (-12 + -3z) = 16(z + 1) Reorder the terms: -4 + -12 + 24z + -3z = 16(z + 1) Combine like terms: -4 + -12 = -16 -16 + 24z + -3z = 16(z + 1) Combine like terms: 24z + -3z = 21z -16 + 21z = 16(z + 1) Reorder the terms: -16 + 21z = 16(1 + z) -16 + 21z = (1 * 16 + z * 16) -16 + 21z = (16 + 16z) Solving -16 + 21z = 16 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -16 + 21z + -16z = 16 + 16z + -16z Combine like terms: 21z + -16z = 5z -16 + 5z = 16 + 16z + -16z Combine like terms: 16z + -16z = 0 -16 + 5z = 16 + 0 -16 + 5z = 16 Add '16' to each side of the equation. -16 + 16 + 5z = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 5z = 16 + 16 5z = 16 + 16 Combine like terms: 16 + 16 = 32 5z = 32 Divide each side by '5'. z = 6.4 Simplifying z = 6.4
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