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Simplifying -2(z + 2) + -6(z + 1) = 98 Reorder the terms: -2(2 + z) + -6(z + 1) = 98 (2 * -2 + z * -2) + -6(z + 1) = 98 (-4 + -2z) + -6(z + 1) = 98 Reorder the terms: -4 + -2z + -6(1 + z) = 98 -4 + -2z + (1 * -6 + z * -6) = 98 -4 + -2z + (-6 + -6z) = 98 Reorder the terms: -4 + -6 + -2z + -6z = 98 Combine like terms: -4 + -6 = -10 -10 + -2z + -6z = 98 Combine like terms: -2z + -6z = -8z -10 + -8z = 98 Solving -10 + -8z = 98 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -8z = 98 + 10 Combine like terms: -10 + 10 = 0 0 + -8z = 98 + 10 -8z = 98 + 10 Combine like terms: 98 + 10 = 108 -8z = 108 Divide each side by '-8'. z = -13.5 Simplifying z = -13.5
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