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Simplifying 8(a + -2) + 7 = 6 + -4(a + 3) Reorder the terms: 8(-2 + a) + 7 = 6 + -4(a + 3) (-2 * 8 + a * 8) + 7 = 6 + -4(a + 3) (-16 + 8a) + 7 = 6 + -4(a + 3) Reorder the terms: -16 + 7 + 8a = 6 + -4(a + 3) Combine like terms: -16 + 7 = -9 -9 + 8a = 6 + -4(a + 3) Reorder the terms: -9 + 8a = 6 + -4(3 + a) -9 + 8a = 6 + (3 * -4 + a * -4) -9 + 8a = 6 + (-12 + -4a) Combine like terms: 6 + -12 = -6 -9 + 8a = -6 + -4a Solving -9 + 8a = -6 + -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. -9 + 8a + 4a = -6 + -4a + 4a Combine like terms: 8a + 4a = 12a -9 + 12a = -6 + -4a + 4a Combine like terms: -4a + 4a = 0 -9 + 12a = -6 + 0 -9 + 12a = -6 Add '9' to each side of the equation. -9 + 9 + 12a = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 12a = -6 + 9 12a = -6 + 9 Combine like terms: -6 + 9 = 3 12a = 3 Divide each side by '12'. a = 0.25 Simplifying a = 0.25
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