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Simplifying 2a + 5 + -6a = 3(4a + -7) Reorder the terms: 5 + 2a + -6a = 3(4a + -7) Combine like terms: 2a + -6a = -4a 5 + -4a = 3(4a + -7) Reorder the terms: 5 + -4a = 3(-7 + 4a) 5 + -4a = (-7 * 3 + 4a * 3) 5 + -4a = (-21 + 12a) Solving 5 + -4a = -21 + 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. 5 + -4a + -12a = -21 + 12a + -12a Combine like terms: -4a + -12a = -16a 5 + -16a = -21 + 12a + -12a Combine like terms: 12a + -12a = 0 5 + -16a = -21 + 0 5 + -16a = -21 Add '-5' to each side of the equation. 5 + -5 + -16a = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -16a = -21 + -5 -16a = -21 + -5 Combine like terms: -21 + -5 = -26 -16a = -26 Divide each side by '-16'. a = 1.625 Simplifying a = 1.625
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