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Simplifying 2(a + -4) = 3(5a + -7) Reorder the terms: 2(-4 + a) = 3(5a + -7) (-4 * 2 + a * 2) = 3(5a + -7) (-8 + 2a) = 3(5a + -7) Reorder the terms: -8 + 2a = 3(-7 + 5a) -8 + 2a = (-7 * 3 + 5a * 3) -8 + 2a = (-21 + 15a) Solving -8 + 2a = -21 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -8 + 2a + -15a = -21 + 15a + -15a Combine like terms: 2a + -15a = -13a -8 + -13a = -21 + 15a + -15a Combine like terms: 15a + -15a = 0 -8 + -13a = -21 + 0 -8 + -13a = -21 Add '8' to each side of the equation. -8 + 8 + -13a = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -13a = -21 + 8 -13a = -21 + 8 Combine like terms: -21 + 8 = -13 -13a = -13 Divide each side by '-13'. a = 1 Simplifying a = 1
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