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Simplifying 5(2a + -3) = 6(2a + 11) Reorder the terms: 5(-3 + 2a) = 6(2a + 11) (-3 * 5 + 2a * 5) = 6(2a + 11) (-15 + 10a) = 6(2a + 11) Reorder the terms: -15 + 10a = 6(11 + 2a) -15 + 10a = (11 * 6 + 2a * 6) -15 + 10a = (66 + 12a) Solving -15 + 10a = 66 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -15 + 10a + -12a = 66 + 12a + -12a Combine like terms: 10a + -12a = -2a -15 + -2a = 66 + 12a + -12a Combine like terms: 12a + -12a = 0 -15 + -2a = 66 + 0 -15 + -2a = 66 Add '15' to each side of the equation. -15 + 15 + -2a = 66 + 15 Combine like terms: -15 + 15 = 0 0 + -2a = 66 + 15 -2a = 66 + 15 Combine like terms: 66 + 15 = 81 -2a = 81 Divide each side by '-2'. a = -40.5 Simplifying a = -40.5
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