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Simplifying 1 + (7z + -3) = 7(-3x + 5) + 2 Reorder the terms: 1 + (-3 + 7z) = 7(-3x + 5) + 2 Remove parenthesis around (-3 + 7z) 1 + -3 + 7z = 7(-3x + 5) + 2 Combine like terms: 1 + -3 = -2 -2 + 7z = 7(-3x + 5) + 2 Reorder the terms: -2 + 7z = 7(5 + -3x) + 2 -2 + 7z = (5 * 7 + -3x * 7) + 2 -2 + 7z = (35 + -21x) + 2 Reorder the terms: -2 + 7z = 35 + 2 + -21x Combine like terms: 35 + 2 = 37 -2 + 7z = 37 + -21x Solving -2 + 7z = 37 + -21x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7z = 37 + 2 + -21x Combine like terms: -2 + 2 = 0 0 + 7z = 37 + 2 + -21x 7z = 37 + 2 + -21x Combine like terms: 37 + 2 = 39 7z = 39 + -21x Divide each side by '7'. z = 5.571428571 + -3x Simplifying z = 5.571428571 + -3x
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