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Simplifying -162 = -2 + -5(-4a + 8) Reorder the terms: -162 = -2 + -5(8 + -4a) -162 = -2 + (8 * -5 + -4a * -5) -162 = -2 + (-40 + 20a) Combine like terms: -2 + -40 = -42 -162 = -42 + 20a Solving -162 = -42 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -162 + -20a = -42 + 20a + -20a Combine like terms: 20a + -20a = 0 -162 + -20a = -42 + 0 -162 + -20a = -42 Add '162' to each side of the equation. -162 + 162 + -20a = -42 + 162 Combine like terms: -162 + 162 = 0 0 + -20a = -42 + 162 -20a = -42 + 162 Combine like terms: -42 + 162 = 120 -20a = 120 Divide each side by '-20'. a = -6 Simplifying a = -6
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