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Simplifying 5(z + 3) + -1(-9z + -4) = 13z Reorder the terms: 5(3 + z) + -1(-9z + -4) = 13z (3 * 5 + z * 5) + -1(-9z + -4) = 13z (15 + 5z) + -1(-9z + -4) = 13z Reorder the terms: 15 + 5z + -1(-4 + -9z) = 13z 15 + 5z + (-4 * -1 + -9z * -1) = 13z 15 + 5z + (4 + 9z) = 13z Reorder the terms: 15 + 4 + 5z + 9z = 13z Combine like terms: 15 + 4 = 19 19 + 5z + 9z = 13z Combine like terms: 5z + 9z = 14z 19 + 14z = 13z Solving 19 + 14z = 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 19 + 14z + -13z = 13z + -13z Combine like terms: 14z + -13z = 1z 19 + 1z = 13z + -13z Combine like terms: 13z + -13z = 0 19 + 1z = 0 Add '-19' to each side of the equation. 19 + -19 + 1z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1z = 0 + -19 1z = 0 + -19 Combine like terms: 0 + -19 = -19 1z = -19 Divide each side by '1'. z = -19 Simplifying z = -19
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