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Simplifying z + (-2z + 10) = -1z + 2(2z + -3) Reorder the terms: z + (10 + -2z) = -1z + 2(2z + -3) Remove parenthesis around (10 + -2z) z + 10 + -2z = -1z + 2(2z + -3) Reorder the terms: 10 + z + -2z = -1z + 2(2z + -3) Combine like terms: z + -2z = -1z 10 + -1z = -1z + 2(2z + -3) Reorder the terms: 10 + -1z = -1z + 2(-3 + 2z) 10 + -1z = -1z + (-3 * 2 + 2z * 2) 10 + -1z = -1z + (-6 + 4z) Reorder the terms: 10 + -1z = -6 + -1z + 4z Combine like terms: -1z + 4z = 3z 10 + -1z = -6 + 3z Solving 10 + -1z = -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. 10 + -1z + -3z = -6 + 3z + -3z Combine like terms: -1z + -3z = -4z 10 + -4z = -6 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + -4z = -6 + 0 10 + -4z = -6 Add '-10' to each side of the equation. 10 + -10 + -4z = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -6 + -10 -4z = -6 + -10 Combine like terms: -6 + -10 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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