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Simplifying -6(a + 9) + 7 = 3a + 2(4a + -1) Reorder the terms: -6(9 + a) + 7 = 3a + 2(4a + -1) (9 * -6 + a * -6) + 7 = 3a + 2(4a + -1) (-54 + -6a) + 7 = 3a + 2(4a + -1) Reorder the terms: -54 + 7 + -6a = 3a + 2(4a + -1) Combine like terms: -54 + 7 = -47 -47 + -6a = 3a + 2(4a + -1) Reorder the terms: -47 + -6a = 3a + 2(-1 + 4a) -47 + -6a = 3a + (-1 * 2 + 4a * 2) -47 + -6a = 3a + (-2 + 8a) Reorder the terms: -47 + -6a = -2 + 3a + 8a Combine like terms: 3a + 8a = 11a -47 + -6a = -2 + 11a Solving -47 + -6a = -2 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -47 + -6a + -11a = -2 + 11a + -11a Combine like terms: -6a + -11a = -17a -47 + -17a = -2 + 11a + -11a Combine like terms: 11a + -11a = 0 -47 + -17a = -2 + 0 -47 + -17a = -2 Add '47' to each side of the equation. -47 + 47 + -17a = -2 + 47 Combine like terms: -47 + 47 = 0 0 + -17a = -2 + 47 -17a = -2 + 47 Combine like terms: -2 + 47 = 45 -17a = 45 Divide each side by '-17'. a = -2.647058824 Simplifying a = -2.647058824
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