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Simplifying 5(a + -8) + 7 = 3(a + -7) Reorder the terms: 5(-8 + a) + 7 = 3(a + -7) (-8 * 5 + a * 5) + 7 = 3(a + -7) (-40 + 5a) + 7 = 3(a + -7) Reorder the terms: -40 + 7 + 5a = 3(a + -7) Combine like terms: -40 + 7 = -33 -33 + 5a = 3(a + -7) Reorder the terms: -33 + 5a = 3(-7 + a) -33 + 5a = (-7 * 3 + a * 3) -33 + 5a = (-21 + 3a) Solving -33 + 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. -33 + 5a + -3a = -21 + 3a + -3a Combine like terms: 5a + -3a = 2a -33 + 2a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -33 + 2a = -21 + 0 -33 + 2a = -21 Add '33' to each side of the equation. -33 + 33 + 2a = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 2a = -21 + 33 2a = -21 + 33 Combine like terms: -21 + 33 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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