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Simplifying 10 + -3z = -3(-1z + 5) + 4(3z + 4) Reorder the terms: 10 + -3z = -3(5 + -1z) + 4(3z + 4) 10 + -3z = (5 * -3 + -1z * -3) + 4(3z + 4) 10 + -3z = (-15 + 3z) + 4(3z + 4) Reorder the terms: 10 + -3z = -15 + 3z + 4(4 + 3z) 10 + -3z = -15 + 3z + (4 * 4 + 3z * 4) 10 + -3z = -15 + 3z + (16 + 12z) Reorder the terms: 10 + -3z = -15 + 16 + 3z + 12z Combine like terms: -15 + 16 = 1 10 + -3z = 1 + 3z + 12z Combine like terms: 3z + 12z = 15z 10 + -3z = 1 + 15z Solving 10 + -3z = 1 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 10 + -3z + -15z = 1 + 15z + -15z Combine like terms: -3z + -15z = -18z 10 + -18z = 1 + 15z + -15z Combine like terms: 15z + -15z = 0 10 + -18z = 1 + 0 10 + -18z = 1 Add '-10' to each side of the equation. 10 + -10 + -18z = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -18z = 1 + -10 -18z = 1 + -10 Combine like terms: 1 + -10 = -9 -18z = -9 Divide each side by '-18'. z = 0.5 Simplifying z = 0.5
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