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Simplifying 8(a + -2) + 3 = 4(a + 2) Reorder the terms: 8(-2 + a) + 3 = 4(a + 2) (-2 * 8 + a * 8) + 3 = 4(a + 2) (-16 + 8a) + 3 = 4(a + 2) Reorder the terms: -16 + 3 + 8a = 4(a + 2) Combine like terms: -16 + 3 = -13 -13 + 8a = 4(a + 2) Reorder the terms: -13 + 8a = 4(2 + a) -13 + 8a = (2 * 4 + a * 4) -13 + 8a = (8 + 4a) Solving -13 + 8a = 8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -13 + 8a + -4a = 8 + 4a + -4a Combine like terms: 8a + -4a = 4a -13 + 4a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -13 + 4a = 8 + 0 -13 + 4a = 8 Add '13' to each side of the equation. -13 + 13 + 4a = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 4a = 8 + 13 4a = 8 + 13 Combine like terms: 8 + 13 = 21 4a = 21 Divide each side by '4'. a = 5.25 Simplifying a = 5.25
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