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Simplifying 4 + -4(-4z + 3) = 7(9z + -7) + -1 Reorder the terms: 4 + -4(3 + -4z) = 7(9z + -7) + -1 4 + (3 * -4 + -4z * -4) = 7(9z + -7) + -1 4 + (-12 + 16z) = 7(9z + -7) + -1 Combine like terms: 4 + -12 = -8 -8 + 16z = 7(9z + -7) + -1 Reorder the terms: -8 + 16z = 7(-7 + 9z) + -1 -8 + 16z = (-7 * 7 + 9z * 7) + -1 -8 + 16z = (-49 + 63z) + -1 Reorder the terms: -8 + 16z = -49 + -1 + 63z Combine like terms: -49 + -1 = -50 -8 + 16z = -50 + 63z Solving -8 + 16z = -50 + 63z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-63z' to each side of the equation. -8 + 16z + -63z = -50 + 63z + -63z Combine like terms: 16z + -63z = -47z -8 + -47z = -50 + 63z + -63z Combine like terms: 63z + -63z = 0 -8 + -47z = -50 + 0 -8 + -47z = -50 Add '8' to each side of the equation. -8 + 8 + -47z = -50 + 8 Combine like terms: -8 + 8 = 0 0 + -47z = -50 + 8 -47z = -50 + 8 Combine like terms: -50 + 8 = -42 -47z = -42 Divide each side by '-47'. z = 0.8936170213 Simplifying z = 0.8936170213
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