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Simplifying -5 + -7(3z + 1) = (2z + 1) + 2 Reorder the terms: -5 + -7(1 + 3z) = (2z + 1) + 2 -5 + (1 * -7 + 3z * -7) = (2z + 1) + 2 -5 + (-7 + -21z) = (2z + 1) + 2 Combine like terms: -5 + -7 = -12 -12 + -21z = (2z + 1) + 2 Reorder the terms: -12 + -21z = (1 + 2z) + 2 Remove parenthesis around (1 + 2z) -12 + -21z = 1 + 2z + 2 Reorder the terms: -12 + -21z = 1 + 2 + 2z Combine like terms: 1 + 2 = 3 -12 + -21z = 3 + 2z Solving -12 + -21z = 3 + 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. -12 + -21z + -2z = 3 + 2z + -2z Combine like terms: -21z + -2z = -23z -12 + -23z = 3 + 2z + -2z Combine like terms: 2z + -2z = 0 -12 + -23z = 3 + 0 -12 + -23z = 3 Add '12' to each side of the equation. -12 + 12 + -23z = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -23z = 3 + 12 -23z = 3 + 12 Combine like terms: 3 + 12 = 15 -23z = 15 Divide each side by '-23'. z = -0.652173913 Simplifying z = -0.652173913
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