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Simplifying -14(z + 2) + 6(3z + -5) = 3(2 + -4) + 13 Reorder the terms: -14(2 + z) + 6(3z + -5) = 3(2 + -4) + 13 (2 * -14 + z * -14) + 6(3z + -5) = 3(2 + -4) + 13 (-28 + -14z) + 6(3z + -5) = 3(2 + -4) + 13 Reorder the terms: -28 + -14z + 6(-5 + 3z) = 3(2 + -4) + 13 -28 + -14z + (-5 * 6 + 3z * 6) = 3(2 + -4) + 13 -28 + -14z + (-30 + 18z) = 3(2 + -4) + 13 Reorder the terms: -28 + -30 + -14z + 18z = 3(2 + -4) + 13 Combine like terms: -28 + -30 = -58 -58 + -14z + 18z = 3(2 + -4) + 13 Combine like terms: -14z + 18z = 4z -58 + 4z = 3(2 + -4) + 13 Combine like terms: 2 + -4 = -2 -58 + 4z = 3(-2) + 13 Multiply 3 * -2 -58 + 4z = -6 + 13 Combine like terms: -6 + 13 = 7 -58 + 4z = 7 Solving -58 + 4z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 4z = 7 + 58 Combine like terms: -58 + 58 = 0 0 + 4z = 7 + 58 4z = 7 + 58 Combine like terms: 7 + 58 = 65 4z = 65 Divide each side by '4'. z = 16.25 Simplifying z = 16.25
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