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Simplifying 5(a + -2) + -2(a + 3) = 6a + -11 Reorder the terms: 5(-2 + a) + -2(a + 3) = 6a + -11 (-2 * 5 + a * 5) + -2(a + 3) = 6a + -11 (-10 + 5a) + -2(a + 3) = 6a + -11 Reorder the terms: -10 + 5a + -2(3 + a) = 6a + -11 -10 + 5a + (3 * -2 + a * -2) = 6a + -11 -10 + 5a + (-6 + -2a) = 6a + -11 Reorder the terms: -10 + -6 + 5a + -2a = 6a + -11 Combine like terms: -10 + -6 = -16 -16 + 5a + -2a = 6a + -11 Combine like terms: 5a + -2a = 3a -16 + 3a = 6a + -11 Reorder the terms: -16 + 3a = -11 + 6a Solving -16 + 3a = -11 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -16 + 3a + -6a = -11 + 6a + -6a Combine like terms: 3a + -6a = -3a -16 + -3a = -11 + 6a + -6a Combine like terms: 6a + -6a = 0 -16 + -3a = -11 + 0 -16 + -3a = -11 Add '16' to each side of the equation. -16 + 16 + -3a = -11 + 16 Combine like terms: -16 + 16 = 0 0 + -3a = -11 + 16 -3a = -11 + 16 Combine like terms: -11 + 16 = 5 -3a = 5 Divide each side by '-3'. a = -1.666666667 Simplifying a = -1.666666667
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