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Simplifying 5(a + -7) + 13 = 3(a + -6) Reorder the terms: 5(-7 + a) + 13 = 3(a + -6) (-7 * 5 + a * 5) + 13 = 3(a + -6) (-35 + 5a) + 13 = 3(a + -6) Reorder the terms: -35 + 13 + 5a = 3(a + -6) Combine like terms: -35 + 13 = -22 -22 + 5a = 3(a + -6) Reorder the terms: -22 + 5a = 3(-6 + a) -22 + 5a = (-6 * 3 + a * 3) -22 + 5a = (-18 + 3a) Solving -22 + 5a = -18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -22 + 5a + -3a = -18 + 3a + -3a Combine like terms: 5a + -3a = 2a -22 + 2a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -22 + 2a = -18 + 0 -22 + 2a = -18 Add '22' to each side of the equation. -22 + 22 + 2a = -18 + 22 Combine like terms: -22 + 22 = 0 0 + 2a = -18 + 22 2a = -18 + 22 Combine like terms: -18 + 22 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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