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Simplifying 7 + -1(4z + -3) = 3z + 1 Reorder the terms: 7 + -1(-3 + 4z) = 3z + 1 7 + (-3 * -1 + 4z * -1) = 3z + 1 7 + (3 + -4z) = 3z + 1 Combine like terms: 7 + 3 = 10 10 + -4z = 3z + 1 Reorder the terms: 10 + -4z = 1 + 3z Solving 10 + -4z = 1 + 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. 10 + -4z + -3z = 1 + 3z + -3z Combine like terms: -4z + -3z = -7z 10 + -7z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + -7z = 1 + 0 10 + -7z = 1 Add '-10' to each side of the equation. 10 + -10 + -7z = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -7z = 1 + -10 -7z = 1 + -10 Combine like terms: 1 + -10 = -9 -7z = -9 Divide each side by '-7'. z = 1.285714286 Simplifying z = 1.285714286
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