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Simplifying 10 + -1(2z + -3) = 6 + -3z Reorder the terms: 10 + -1(-3 + 2z) = 6 + -3z 10 + (-3 * -1 + 2z * -1) = 6 + -3z 10 + (3 + -2z) = 6 + -3z Combine like terms: 10 + 3 = 13 13 + -2z = 6 + -3z Solving 13 + -2z = 6 + -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. 13 + -2z + 3z = 6 + -3z + 3z Combine like terms: -2z + 3z = 1z 13 + 1z = 6 + -3z + 3z Combine like terms: -3z + 3z = 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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