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Simplifying 4a + -7 = 3(4a + -5) Reorder the terms: -7 + 4a = 3(4a + -5) Reorder the terms: -7 + 4a = 3(-5 + 4a) -7 + 4a = (-5 * 3 + 4a * 3) -7 + 4a = (-15 + 12a) Solving -7 + 4a = -15 + 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. -7 + 4a + -12a = -15 + 12a + -12a Combine like terms: 4a + -12a = -8a -7 + -8a = -15 + 12a + -12a Combine like terms: 12a + -12a = 0 -7 + -8a = -15 + 0 -7 + -8a = -15 Add '7' to each side of the equation. -7 + 7 + -8a = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -8a = -15 + 7 -8a = -15 + 7 Combine like terms: -15 + 7 = -8 -8a = -8 Divide each side by '-8'. a = 1 Simplifying a = 1
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