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Simplifying -7z + -1(-3z) + -14z + 12z + (-15) = -3 Remove parenthesis around (-3z) -7z + -1 * -3z + -14z + 12z + (-15) = -3 Multiply -1 * -3 -7z + 3z + -14z + 12z + (-15) = -3 -7z + 3z + -14z + 12z + -15 = -3 Reorder the terms: -15 + -7z + 3z + -14z + 12z = -3 Combine like terms: -7z + 3z = -4z -15 + -4z + -14z + 12z = -3 Combine like terms: -4z + -14z = -18z -15 + -18z + 12z = -3 Combine like terms: -18z + 12z = -6z -15 + -6z = -3 Solving -15 + -6z = -3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -6z = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -6z = -3 + 15 -6z = -3 + 15 Combine like terms: -3 + 15 = 12 -6z = 12 Divide each side by '-6'. z = -2 Simplifying z = -2
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