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Simplifying 7(a + -8) + 15 = 5(a + -7) Reorder the terms: 7(-8 + a) + 15 = 5(a + -7) (-8 * 7 + a * 7) + 15 = 5(a + -7) (-56 + 7a) + 15 = 5(a + -7) Reorder the terms: -56 + 15 + 7a = 5(a + -7) Combine like terms: -56 + 15 = -41 -41 + 7a = 5(a + -7) Reorder the terms: -41 + 7a = 5(-7 + a) -41 + 7a = (-7 * 5 + a * 5) -41 + 7a = (-35 + 5a) Solving -41 + 7a = -35 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -41 + 7a + -5a = -35 + 5a + -5a Combine like terms: 7a + -5a = 2a -41 + 2a = -35 + 5a + -5a Combine like terms: 5a + -5a = 0 -41 + 2a = -35 + 0 -41 + 2a = -35 Add '41' to each side of the equation. -41 + 41 + 2a = -35 + 41 Combine like terms: -41 + 41 = 0 0 + 2a = -35 + 41 2a = -35 + 41 Combine like terms: -35 + 41 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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