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Simplifying 8(z + -2) + -1(-3z + -9) = 10z Reorder the terms: 8(-2 + z) + -1(-3z + -9) = 10z (-2 * 8 + z * 8) + -1(-3z + -9) = 10z (-16 + 8z) + -1(-3z + -9) = 10z Reorder the terms: -16 + 8z + -1(-9 + -3z) = 10z -16 + 8z + (-9 * -1 + -3z * -1) = 10z -16 + 8z + (9 + 3z) = 10z Reorder the terms: -16 + 9 + 8z + 3z = 10z Combine like terms: -16 + 9 = -7 -7 + 8z + 3z = 10z Combine like terms: 8z + 3z = 11z -7 + 11z = 10z Solving -7 + 11z = 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -7 + 11z + -10z = 10z + -10z Combine like terms: 11z + -10z = 1z -7 + 1z = 10z + -10z Combine like terms: 10z + -10z = 0 -7 + 1z = 0 Add '7' to each side of the equation. -7 + 7 + 1z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 0 + 7 1z = 0 + 7 Combine like terms: 0 + 7 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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