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Simplifying -16(z + 2) + 5(4z + -4) = 3(z + -4) + 11 Reorder the terms: -16(2 + z) + 5(4z + -4) = 3(z + -4) + 11 (2 * -16 + z * -16) + 5(4z + -4) = 3(z + -4) + 11 (-32 + -16z) + 5(4z + -4) = 3(z + -4) + 11 Reorder the terms: -32 + -16z + 5(-4 + 4z) = 3(z + -4) + 11 -32 + -16z + (-4 * 5 + 4z * 5) = 3(z + -4) + 11 -32 + -16z + (-20 + 20z) = 3(z + -4) + 11 Reorder the terms: -32 + -20 + -16z + 20z = 3(z + -4) + 11 Combine like terms: -32 + -20 = -52 -52 + -16z + 20z = 3(z + -4) + 11 Combine like terms: -16z + 20z = 4z -52 + 4z = 3(z + -4) + 11 Reorder the terms: -52 + 4z = 3(-4 + z) + 11 -52 + 4z = (-4 * 3 + z * 3) + 11 -52 + 4z = (-12 + 3z) + 11 Reorder the terms: -52 + 4z = -12 + 11 + 3z Combine like terms: -12 + 11 = -1 -52 + 4z = -1 + 3z Solving -52 + 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. -52 + 4z + -3z = -1 + 3z + -3z Combine like terms: 4z + -3z = 1z -52 + 1z = -1 + 3z + -3z Combine like terms: 3z + -3z = 0 -52 + 1z = -1 + 0 -52 + 1z = -1 Add '52' to each side of the equation. -52 + 52 + 1z = -1 + 52 Combine like terms: -52 + 52 = 0 0 + 1z = -1 + 52 1z = -1 + 52 Combine like terms: -1 + 52 = 51 1z = 51 Divide each side by '1'. z = 51 Simplifying z = 51
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