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Simplifying 17 + 3(z + -2) + -11z = -7(z + 2) * 14 Reorder the terms: 17 + 3(-2 + z) + -11z = -7(z + 2) * 14 17 + (-2 * 3 + z * 3) + -11z = -7(z + 2) * 14 17 + (-6 + 3z) + -11z = -7(z + 2) * 14 Combine like terms: 17 + -6 = 11 11 + 3z + -11z = -7(z + 2) * 14 Combine like terms: 3z + -11z = -8z 11 + -8z = -7(z + 2) * 14 Reorder the terms: 11 + -8z = -7(2 + z) * 14 Reorder the terms for easier multiplication: 11 + -8z = -7 * 14(2 + z) Multiply -7 * 14 11 + -8z = -98(2 + z) 11 + -8z = (2 * -98 + z * -98) 11 + -8z = (-196 + -98z) Solving 11 + -8z = -196 + -98z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '98z' to each side of the equation. 11 + -8z + 98z = -196 + -98z + 98z Combine like terms: -8z + 98z = 90z 11 + 90z = -196 + -98z + 98z Combine like terms: -98z + 98z = 0 11 + 90z = -196 + 0 11 + 90z = -196 Add '-11' to each side of the equation. 11 + -11 + 90z = -196 + -11 Combine like terms: 11 + -11 = 0 0 + 90z = -196 + -11 90z = -196 + -11 Combine like terms: -196 + -11 = -207 90z = -207 Divide each side by '90'. z = -2.3 Simplifying z = -2.3
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