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Simplifying -16(z + 3) + 5(4z + -3) = 3(z + -3) + 10 Reorder the terms: -16(3 + z) + 5(4z + -3) = 3(z + -3) + 10 (3 * -16 + z * -16) + 5(4z + -3) = 3(z + -3) + 10 (-48 + -16z) + 5(4z + -3) = 3(z + -3) + 10 Reorder the terms: -48 + -16z + 5(-3 + 4z) = 3(z + -3) + 10 -48 + -16z + (-3 * 5 + 4z * 5) = 3(z + -3) + 10 -48 + -16z + (-15 + 20z) = 3(z + -3) + 10 Reorder the terms: -48 + -15 + -16z + 20z = 3(z + -3) + 10 Combine like terms: -48 + -15 = -63 -63 + -16z + 20z = 3(z + -3) + 10 Combine like terms: -16z + 20z = 4z -63 + 4z = 3(z + -3) + 10 Reorder the terms: -63 + 4z = 3(-3 + z) + 10 -63 + 4z = (-3 * 3 + z * 3) + 10 -63 + 4z = (-9 + 3z) + 10 Reorder the terms: -63 + 4z = -9 + 10 + 3z Combine like terms: -9 + 10 = 1 -63 + 4z = 1 + 3z Solving -63 + 4z = 1 + 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. -63 + 4z + -3z = 1 + 3z + -3z Combine like terms: 4z + -3z = 1z -63 + 1z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -63 + 1z = 1 + 0 -63 + 1z = 1 Add '63' to each side of the equation. -63 + 63 + 1z = 1 + 63 Combine like terms: -63 + 63 = 0 0 + 1z = 1 + 63 1z = 1 + 63 Combine like terms: 1 + 63 = 64 1z = 64 Divide each side by '1'. z = 64 Simplifying z = 64
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