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Simplifying 7(a + -8) + 11 = 3(a + -7) Reorder the terms: 7(-8 + a) + 11 = 3(a + -7) (-8 * 7 + a * 7) + 11 = 3(a + -7) (-56 + 7a) + 11 = 3(a + -7) Reorder the terms: -56 + 11 + 7a = 3(a + -7) Combine like terms: -56 + 11 = -45 -45 + 7a = 3(a + -7) Reorder the terms: -45 + 7a = 3(-7 + a) -45 + 7a = (-7 * 3 + a * 3) -45 + 7a = (-21 + 3a) Solving -45 + 7a = -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. -45 + 7a + -3a = -21 + 3a + -3a Combine like terms: 7a + -3a = 4a -45 + 4a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -45 + 4a = -21 + 0 -45 + 4a = -21 Add '45' to each side of the equation. -45 + 45 + 4a = -21 + 45 Combine like terms: -45 + 45 = 0 0 + 4a = -21 + 45 4a = -21 + 45 Combine like terms: -21 + 45 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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