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Simplifying 10 + -1(4z + -3) = 6 + -5z Reorder the terms: 10 + -1(-3 + 4z) = 6 + -5z 10 + (-3 * -1 + 4z * -1) = 6 + -5z 10 + (3 + -4z) = 6 + -5z Combine like terms: 10 + 3 = 13 13 + -4z = 6 + -5z Solving 13 + -4z = 6 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 13 + -4z + 5z = 6 + -5z + 5z Combine like terms: -4z + 5z = 1z 13 + 1z = 6 + -5z + 5z Combine like terms: -5z + 5z = 0 13 + 1z = 6 + 0 13 + 1z = 6 Add '-13' to each side of the equation. 13 + -13 + 1z = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 6 + -13 1z = 6 + -13 Combine like terms: 6 + -13 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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