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Simplifying 3(z + -14) + 1 = -4x + 5 Reorder the terms: 3(-14 + z) + 1 = -4x + 5 (-14 * 3 + z * 3) + 1 = -4x + 5 (-42 + 3z) + 1 = -4x + 5 Reorder the terms: -42 + 1 + 3z = -4x + 5 Combine like terms: -42 + 1 = -41 -41 + 3z = -4x + 5 Reorder the terms: -41 + 3z = 5 + -4x Solving -41 + 3z = 5 + -4x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 3z = 5 + 41 + -4x Combine like terms: -41 + 41 = 0 0 + 3z = 5 + 41 + -4x 3z = 5 + 41 + -4x Combine like terms: 5 + 41 = 46 3z = 46 + -4x Divide each side by '3'. z = 15.33333333 + -1.333333333x Simplifying z = 15.33333333 + -1.333333333x
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