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Simplifying 3 + 6(-7 + -2) = 4(-4z + -4) + 2 Combine like terms: -7 + -2 = -9 3 + 6(-9) = 4(-4z + -4) + 2 Multiply 6 * -9 3 + -54 = 4(-4z + -4) + 2 Combine like terms: 3 + -54 = -51 -51 = 4(-4z + -4) + 2 Reorder the terms: -51 = 4(-4 + -4z) + 2 -51 = (-4 * 4 + -4z * 4) + 2 -51 = (-16 + -16z) + 2 Reorder the terms: -51 = -16 + 2 + -16z Combine like terms: -16 + 2 = -14 -51 = -14 + -16z Solving -51 = -14 + -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. -51 + 16z = -14 + -16z + 16z Combine like terms: -16z + 16z = 0 -51 + 16z = -14 + 0 -51 + 16z = -14 Add '51' to each side of the equation. -51 + 51 + 16z = -14 + 51 Combine like terms: -51 + 51 = 0 0 + 16z = -14 + 51 16z = -14 + 51 Combine like terms: -14 + 51 = 37 16z = 37 Divide each side by '16'. z = 2.3125 Simplifying z = 2.3125
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