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Simplifying 5(a + -7) + 17 = 2(a + -6) Reorder the terms: 5(-7 + a) + 17 = 2(a + -6) (-7 * 5 + a * 5) + 17 = 2(a + -6) (-35 + 5a) + 17 = 2(a + -6) Reorder the terms: -35 + 17 + 5a = 2(a + -6) Combine like terms: -35 + 17 = -18 -18 + 5a = 2(a + -6) Reorder the terms: -18 + 5a = 2(-6 + a) -18 + 5a = (-6 * 2 + a * 2) -18 + 5a = (-12 + 2a) Solving -18 + 5a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -18 + 5a + -2a = -12 + 2a + -2a Combine like terms: 5a + -2a = 3a -18 + 3a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -18 + 3a = -12 + 0 -18 + 3a = -12 Add '18' to each side of the equation. -18 + 18 + 3a = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 3a = -12 + 18 3a = -12 + 18 Combine like terms: -12 + 18 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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