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Simplifying 4(4z + -3) = -3z + 64 Reorder the terms: 4(-3 + 4z) = -3z + 64 (-3 * 4 + 4z * 4) = -3z + 64 (-12 + 16z) = -3z + 64 Reorder the terms: -12 + 16z = 64 + -3z Solving -12 + 16z = 64 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -12 + 16z + 3z = 64 + -3z + 3z Combine like terms: 16z + 3z = 19z -12 + 19z = 64 + -3z + 3z Combine like terms: -3z + 3z = 0 -12 + 19z = 64 + 0 -12 + 19z = 64 Add '12' to each side of the equation. -12 + 12 + 19z = 64 + 12 Combine like terms: -12 + 12 = 0 0 + 19z = 64 + 12 19z = 64 + 12 Combine like terms: 64 + 12 = 76 19z = 76 Divide each side by '19'. z = 4 Simplifying z = 4
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