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Simplifying -10(z + 1) + 2z = (2z + 1) + 1 Reorder the terms: -10(1 + z) + 2z = (2z + 1) + 1 (1 * -10 + z * -10) + 2z = (2z + 1) + 1 (-10 + -10z) + 2z = (2z + 1) + 1 Combine like terms: -10z + 2z = -8z -10 + -8z = (2z + 1) + 1 Reorder the terms: -10 + -8z = (1 + 2z) + 1 Remove parenthesis around (1 + 2z) -10 + -8z = 1 + 2z + 1 Reorder the terms: -10 + -8z = 1 + 1 + 2z Combine like terms: 1 + 1 = 2 -10 + -8z = 2 + 2z Solving -10 + -8z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -10 + -8z + -2z = 2 + 2z + -2z Combine like terms: -8z + -2z = -10z -10 + -10z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -10z = 2 + 0 -10 + -10z = 2 Add '10' to each side of the equation. -10 + 10 + -10z = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -10z = 2 + 10 -10z = 2 + 10 Combine like terms: 2 + 10 = 12 -10z = 12 Divide each side by '-10'. z = -1.2 Simplifying z = -1.2
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