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Simplifying 3(z + -3) = 8(z + 4) * 6 Reorder the terms: 3(-3 + z) = 8(z + 4) * 6 (-3 * 3 + z * 3) = 8(z + 4) * 6 (-9 + 3z) = 8(z + 4) * 6 Reorder the terms: -9 + 3z = 8(4 + z) * 6 Reorder the terms for easier multiplication: -9 + 3z = 8 * 6(4 + z) Multiply 8 * 6 -9 + 3z = 48(4 + z) -9 + 3z = (4 * 48 + z * 48) -9 + 3z = (192 + 48z) Solving -9 + 3z = 192 + 48z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48z' to each side of the equation. -9 + 3z + -48z = 192 + 48z + -48z Combine like terms: 3z + -48z = -45z -9 + -45z = 192 + 48z + -48z Combine like terms: 48z + -48z = 0 -9 + -45z = 192 + 0 -9 + -45z = 192 Add '9' to each side of the equation. -9 + 9 + -45z = 192 + 9 Combine like terms: -9 + 9 = 0 0 + -45z = 192 + 9 -45z = 192 + 9 Combine like terms: 192 + 9 = 201 -45z = 201 Divide each side by '-45'. z = -4.466666667 Simplifying z = -4.466666667
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