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Simplifying -1 + -6(-7z + 2) = (-3z + 3) + 1 Reorder the terms: -1 + -6(2 + -7z) = (-3z + 3) + 1 -1 + (2 * -6 + -7z * -6) = (-3z + 3) + 1 -1 + (-12 + 42z) = (-3z + 3) + 1 Combine like terms: -1 + -12 = -13 -13 + 42z = (-3z + 3) + 1 Reorder the terms: -13 + 42z = (3 + -3z) + 1 Remove parenthesis around (3 + -3z) -13 + 42z = 3 + -3z + 1 Reorder the terms: -13 + 42z = 3 + 1 + -3z Combine like terms: 3 + 1 = 4 -13 + 42z = 4 + -3z Solving -13 + 42z = 4 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -13 + 42z + 3z = 4 + -3z + 3z Combine like terms: 42z + 3z = 45z -13 + 45z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 -13 + 45z = 4 + 0 -13 + 45z = 4 Add '13' to each side of the equation. -13 + 13 + 45z = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 45z = 4 + 13 45z = 4 + 13 Combine like terms: 4 + 13 = 17 45z = 17 Divide each side by '45'. z = 0.3777777778 Simplifying z = 0.3777777778
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