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Simplifying 1 + 3(-7z + -8) = 7(-2z + -4) + 2 Reorder the terms: 1 + 3(-8 + -7z) = 7(-2z + -4) + 2 1 + (-8 * 3 + -7z * 3) = 7(-2z + -4) + 2 1 + (-24 + -21z) = 7(-2z + -4) + 2 Combine like terms: 1 + -24 = -23 -23 + -21z = 7(-2z + -4) + 2 Reorder the terms: -23 + -21z = 7(-4 + -2z) + 2 -23 + -21z = (-4 * 7 + -2z * 7) + 2 -23 + -21z = (-28 + -14z) + 2 Reorder the terms: -23 + -21z = -28 + 2 + -14z Combine like terms: -28 + 2 = -26 -23 + -21z = -26 + -14z Solving -23 + -21z = -26 + -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. -23 + -21z + 14z = -26 + -14z + 14z Combine like terms: -21z + 14z = -7z -23 + -7z = -26 + -14z + 14z Combine like terms: -14z + 14z = 0 -23 + -7z = -26 + 0 -23 + -7z = -26 Add '23' to each side of the equation. -23 + 23 + -7z = -26 + 23 Combine like terms: -23 + 23 = 0 0 + -7z = -26 + 23 -7z = -26 + 23 Combine like terms: -26 + 23 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286
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