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Simplifying 5 + 7(-7z + -2) = -1(4z + 1) + 1 Reorder the terms: 5 + 7(-2 + -7z) = -1(4z + 1) + 1 5 + (-2 * 7 + -7z * 7) = -1(4z + 1) + 1 5 + (-14 + -49z) = -1(4z + 1) + 1 Combine like terms: 5 + -14 = -9 -9 + -49z = -1(4z + 1) + 1 Reorder the terms: -9 + -49z = -1(1 + 4z) + 1 -9 + -49z = (1 * -1 + 4z * -1) + 1 -9 + -49z = (-1 + -4z) + 1 Reorder the terms: -9 + -49z = -1 + 1 + -4z Combine like terms: -1 + 1 = 0 -9 + -49z = 0 + -4z -9 + -49z = -4z Solving -9 + -49z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -9 + -49z + 4z = -4z + 4z Combine like terms: -49z + 4z = -45z -9 + -45z = -4z + 4z Combine like terms: -4z + 4z = 0 -9 + -45z = 0 Add '9' to each side of the equation. -9 + 9 + -45z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -45z = 0 + 9 -45z = 0 + 9 Combine like terms: 0 + 9 = 9 -45z = 9 Divide each side by '-45'. z = -0.2 Simplifying z = -0.2
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