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Simplifying 13 + -3(z + 1) = z + -10 Reorder the terms: 13 + -3(1 + z) = z + -10 13 + (1 * -3 + z * -3) = z + -10 13 + (-3 + -3z) = z + -10 Combine like terms: 13 + -3 = 10 10 + -3z = z + -10 Reorder the terms: 10 + -3z = -10 + z Solving 10 + -3z = -10 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 10 + -3z + -1z = -10 + z + -1z Combine like terms: -3z + -1z = -4z 10 + -4z = -10 + z + -1z Combine like terms: z + -1z = 0 10 + -4z = -10 + 0 10 + -4z = -10 Add '-10' to each side of the equation. 10 + -10 + -4z = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -10 + -10 -4z = -10 + -10 Combine like terms: -10 + -10 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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