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Simplifying 1 + -3(2z + 5) = 2z + -21 Reorder the terms: 1 + -3(5 + 2z) = 2z + -21 1 + (5 * -3 + 2z * -3) = 2z + -21 1 + (-15 + -6z) = 2z + -21 Combine like terms: 1 + -15 = -14 -14 + -6z = 2z + -21 Reorder the terms: -14 + -6z = -21 + 2z Solving -14 + -6z = -21 + 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. -14 + -6z + -2z = -21 + 2z + -2z Combine like terms: -6z + -2z = -8z -14 + -8z = -21 + 2z + -2z Combine like terms: 2z + -2z = 0 -14 + -8z = -21 + 0 -14 + -8z = -21 Add '14' to each side of the equation. -14 + 14 + -8z = -21 + 14 Combine like terms: -14 + 14 = 0 0 + -8z = -21 + 14 -8z = -21 + 14 Combine like terms: -21 + 14 = -7 -8z = -7 Divide each side by '-8'. z = 0.875 Simplifying z = 0.875
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