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Simplifying 4(2z + -1) = z + -3(4z + -5) Reorder the terms: 4(-1 + 2z) = z + -3(4z + -5) (-1 * 4 + 2z * 4) = z + -3(4z + -5) (-4 + 8z) = z + -3(4z + -5) Reorder the terms: -4 + 8z = z + -3(-5 + 4z) -4 + 8z = z + (-5 * -3 + 4z * -3) -4 + 8z = z + (15 + -12z) Reorder the terms: -4 + 8z = 15 + z + -12z Combine like terms: z + -12z = -11z -4 + 8z = 15 + -11z Solving -4 + 8z = 15 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. -4 + 8z + 11z = 15 + -11z + 11z Combine like terms: 8z + 11z = 19z -4 + 19z = 15 + -11z + 11z Combine like terms: -11z + 11z = 0 -4 + 19z = 15 + 0 -4 + 19z = 15 Add '4' to each side of the equation. -4 + 4 + 19z = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 19z = 15 + 4 19z = 15 + 4 Combine like terms: 15 + 4 = 19 19z = 19 Divide each side by '19'. z = 1 Simplifying z = 1
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