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Simplifying 6 + -4(z + 7) = -8(4z + 6) + 3 Reorder the terms: 6 + -4(7 + z) = -8(4z + 6) + 3 6 + (7 * -4 + z * -4) = -8(4z + 6) + 3 6 + (-28 + -4z) = -8(4z + 6) + 3 Combine like terms: 6 + -28 = -22 -22 + -4z = -8(4z + 6) + 3 Reorder the terms: -22 + -4z = -8(6 + 4z) + 3 -22 + -4z = (6 * -8 + 4z * -8) + 3 -22 + -4z = (-48 + -32z) + 3 Reorder the terms: -22 + -4z = -48 + 3 + -32z Combine like terms: -48 + 3 = -45 -22 + -4z = -45 + -32z Solving -22 + -4z = -45 + -32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32z' to each side of the equation. -22 + -4z + 32z = -45 + -32z + 32z Combine like terms: -4z + 32z = 28z -22 + 28z = -45 + -32z + 32z Combine like terms: -32z + 32z = 0 -22 + 28z = -45 + 0 -22 + 28z = -45 Add '22' to each side of the equation. -22 + 22 + 28z = -45 + 22 Combine like terms: -22 + 22 = 0 0 + 28z = -45 + 22 28z = -45 + 22 Combine like terms: -45 + 22 = -23 28z = -23 Divide each side by '28'. z = -0.8214285714 Simplifying z = -0.8214285714
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