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Simplifying -16(z + 3) + 5(4z + -4) = 3(z + -6) + 10 Reorder the terms: -16(3 + z) + 5(4z + -4) = 3(z + -6) + 10 (3 * -16 + z * -16) + 5(4z + -4) = 3(z + -6) + 10 (-48 + -16z) + 5(4z + -4) = 3(z + -6) + 10 Reorder the terms: -48 + -16z + 5(-4 + 4z) = 3(z + -6) + 10 -48 + -16z + (-4 * 5 + 4z * 5) = 3(z + -6) + 10 -48 + -16z + (-20 + 20z) = 3(z + -6) + 10 Reorder the terms: -48 + -20 + -16z + 20z = 3(z + -6) + 10 Combine like terms: -48 + -20 = -68 -68 + -16z + 20z = 3(z + -6) + 10 Combine like terms: -16z + 20z = 4z -68 + 4z = 3(z + -6) + 10 Reorder the terms: -68 + 4z = 3(-6 + z) + 10 -68 + 4z = (-6 * 3 + z * 3) + 10 -68 + 4z = (-18 + 3z) + 10 Reorder the terms: -68 + 4z = -18 + 10 + 3z Combine like terms: -18 + 10 = -8 -68 + 4z = -8 + 3z Solving -68 + 4z = -8 + 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. -68 + 4z + -3z = -8 + 3z + -3z Combine like terms: 4z + -3z = 1z -68 + 1z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -68 + 1z = -8 + 0 -68 + 1z = -8 Add '68' to each side of the equation. -68 + 68 + 1z = -8 + 68 Combine like terms: -68 + 68 = 0 0 + 1z = -8 + 68 1z = -8 + 68 Combine like terms: -8 + 68 = 60 1z = 60 Divide each side by '1'. z = 60 Simplifying z = 60
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