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Simplifying 5(a + -8) + 11 = 3(a + -7) Reorder the terms: 5(-8 + a) + 11 = 3(a + -7) (-8 * 5 + a * 5) + 11 = 3(a + -7) (-40 + 5a) + 11 = 3(a + -7) Reorder the terms: -40 + 11 + 5a = 3(a + -7) Combine like terms: -40 + 11 = -29 -29 + 5a = 3(a + -7) Reorder the terms: -29 + 5a = 3(-7 + a) -29 + 5a = (-7 * 3 + a * 3) -29 + 5a = (-21 + 3a) Solving -29 + 5a = -21 + 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. -29 + 5a + -3a = -21 + 3a + -3a Combine like terms: 5a + -3a = 2a -29 + 2a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -29 + 2a = -21 + 0 -29 + 2a = -21 Add '29' to each side of the equation. -29 + 29 + 2a = -21 + 29 Combine like terms: -29 + 29 = 0 0 + 2a = -21 + 29 2a = -21 + 29 Combine like terms: -21 + 29 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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