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Simplifying 4(7z + -9) + -7(4z + 3) = 6(9z + -10) Reorder the terms: 4(-9 + 7z) + -7(4z + 3) = 6(9z + -10) (-9 * 4 + 7z * 4) + -7(4z + 3) = 6(9z + -10) (-36 + 28z) + -7(4z + 3) = 6(9z + -10) Reorder the terms: -36 + 28z + -7(3 + 4z) = 6(9z + -10) -36 + 28z + (3 * -7 + 4z * -7) = 6(9z + -10) -36 + 28z + (-21 + -28z) = 6(9z + -10) Reorder the terms: -36 + -21 + 28z + -28z = 6(9z + -10) Combine like terms: -36 + -21 = -57 -57 + 28z + -28z = 6(9z + -10) Combine like terms: 28z + -28z = 0 -57 + 0 = 6(9z + -10) -57 = 6(9z + -10) Reorder the terms: -57 = 6(-10 + 9z) -57 = (-10 * 6 + 9z * 6) -57 = (-60 + 54z) Solving -57 = -60 + 54z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-54z' to each side of the equation. -57 + -54z = -60 + 54z + -54z Combine like terms: 54z + -54z = 0 -57 + -54z = -60 + 0 -57 + -54z = -60 Add '57' to each side of the equation. -57 + 57 + -54z = -60 + 57 Combine like terms: -57 + 57 = 0 0 + -54z = -60 + 57 -54z = -60 + 57 Combine like terms: -60 + 57 = -3 -54z = -3 Divide each side by '-54'. z = 0.05555555556 Simplifying z = 0.05555555556
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