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Simplifying 3(3a + -4) = 5(2a + -7) Reorder the terms: 3(-4 + 3a) = 5(2a + -7) (-4 * 3 + 3a * 3) = 5(2a + -7) (-12 + 9a) = 5(2a + -7) Reorder the terms: -12 + 9a = 5(-7 + 2a) -12 + 9a = (-7 * 5 + 2a * 5) -12 + 9a = (-35 + 10a) Solving -12 + 9a = -35 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -12 + 9a + -10a = -35 + 10a + -10a Combine like terms: 9a + -10a = -1a -12 + -1a = -35 + 10a + -10a Combine like terms: 10a + -10a = 0 -12 + -1a = -35 + 0 -12 + -1a = -35 Add '12' to each side of the equation. -12 + 12 + -1a = -35 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = -35 + 12 -1a = -35 + 12 Combine like terms: -35 + 12 = -23 -1a = -23 Divide each side by '-1'. a = 23 Simplifying a = 23
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