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Simplifying 3(-19) = 6 + -9z Multiply 3 * -19 -57 = 6 + -9z Solving -57 = 6 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -57 + 9z = 6 + -9z + 9z Combine like terms: -9z + 9z = 0 -57 + 9z = 6 + 0 -57 + 9z = 6 Add '57' to each side of the equation. -57 + 57 + 9z = 6 + 57 Combine like terms: -57 + 57 = 0 0 + 9z = 6 + 57 9z = 6 + 57 Combine like terms: 6 + 57 = 63 9z = 63 Divide each side by '9'. z = 7 Simplifying z = 7
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