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Simplifying 8a + -40 = 8(-2 + 2a) Reorder the terms: -40 + 8a = 8(-2 + 2a) -40 + 8a = (-2 * 8 + 2a * 8) -40 + 8a = (-16 + 16a) Solving -40 + 8a = -16 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -40 + 8a + -16a = -16 + 16a + -16a Combine like terms: 8a + -16a = -8a -40 + -8a = -16 + 16a + -16a Combine like terms: 16a + -16a = 0 -40 + -8a = -16 + 0 -40 + -8a = -16 Add '40' to each side of the equation. -40 + 40 + -8a = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -8a = -16 + 40 -8a = -16 + 40 Combine like terms: -16 + 40 = 24 -8a = 24 Divide each side by '-8'. a = -3 Simplifying a = -3
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