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Simplifying 1 + (7z + -3) = 7(-3z + 5) + 2 Reorder the terms: 1 + (-3 + 7z) = 7(-3z + 5) + 2 Remove parenthesis around (-3 + 7z) 1 + -3 + 7z = 7(-3z + 5) + 2 Combine like terms: 1 + -3 = -2 -2 + 7z = 7(-3z + 5) + 2 Reorder the terms: -2 + 7z = 7(5 + -3z) + 2 -2 + 7z = (5 * 7 + -3z * 7) + 2 -2 + 7z = (35 + -21z) + 2 Reorder the terms: -2 + 7z = 35 + 2 + -21z Combine like terms: 35 + 2 = 37 -2 + 7z = 37 + -21z Solving -2 + 7z = 37 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. -2 + 7z + 21z = 37 + -21z + 21z Combine like terms: 7z + 21z = 28z -2 + 28z = 37 + -21z + 21z Combine like terms: -21z + 21z = 0 -2 + 28z = 37 + 0 -2 + 28z = 37 Add '2' to each side of the equation. -2 + 2 + 28z = 37 + 2 Combine like terms: -2 + 2 = 0 0 + 28z = 37 + 2 28z = 37 + 2 Combine like terms: 37 + 2 = 39 28z = 39 Divide each side by '28'. z = 1.392857143 Simplifying z = 1.392857143
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