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Simplifying -5 + 3a = 8(1 + 2a) -5 + 3a = (1 * 8 + 2a * 8) -5 + 3a = (8 + 16a) Solving -5 + 3a = 8 + 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. -5 + 3a + -16a = 8 + 16a + -16a Combine like terms: 3a + -16a = -13a -5 + -13a = 8 + 16a + -16a Combine like terms: 16a + -16a = 0 -5 + -13a = 8 + 0 -5 + -13a = 8 Add '5' to each side of the equation. -5 + 5 + -13a = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -13a = 8 + 5 -13a = 8 + 5 Combine like terms: 8 + 5 = 13 -13a = 13 Divide each side by '-13'. a = -1 Simplifying a = -1
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