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Simplifying 5 + -7(3z + 15) = -1z Reorder the terms: 5 + -7(15 + 3z) = -1z 5 + (15 * -7 + 3z * -7) = -1z 5 + (-105 + -21z) = -1z Combine like terms: 5 + -105 = -100 -100 + -21z = -1z Solving -100 + -21z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -100 + -21z + z = -1z + z Combine like terms: -21z + z = -20z -100 + -20z = -1z + z Combine like terms: -1z + z = 0 -100 + -20z = 0 Add '100' to each side of the equation. -100 + 100 + -20z = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -20z = 0 + 100 -20z = 0 + 100 Combine like terms: 0 + 100 = 100 -20z = 100 Divide each side by '-20'. z = -5 Simplifying z = -5
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