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Simplifying 16a + -5(a + 1) = 3(a + -2) Reorder the terms: 16a + -5(1 + a) = 3(a + -2) 16a + (1 * -5 + a * -5) = 3(a + -2) 16a + (-5 + -5a) = 3(a + -2) Reorder the terms: -5 + 16a + -5a = 3(a + -2) Combine like terms: 16a + -5a = 11a -5 + 11a = 3(a + -2) Reorder the terms: -5 + 11a = 3(-2 + a) -5 + 11a = (-2 * 3 + a * 3) -5 + 11a = (-6 + 3a) Solving -5 + 11a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 11a + -3a = -6 + 3a + -3a Combine like terms: 11a + -3a = 8a -5 + 8a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 8a = -6 + 0 -5 + 8a = -6 Add '5' to each side of the equation. -5 + 5 + 8a = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 8a = -6 + 5 8a = -6 + 5 Combine like terms: -6 + 5 = -1 8a = -1 Divide each side by '8'. a = -0.125 Simplifying a = -0.125
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