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Simplifying 4a + -7 = 6(a + 1) + 14a + 6 Reorder the terms: -7 + 4a = 6(a + 1) + 14a + 6 Reorder the terms: -7 + 4a = 6(1 + a) + 14a + 6 -7 + 4a = (1 * 6 + a * 6) + 14a + 6 -7 + 4a = (6 + 6a) + 14a + 6 Reorder the terms: -7 + 4a = 6 + 6 + 6a + 14a Combine like terms: 6 + 6 = 12 -7 + 4a = 12 + 6a + 14a Combine like terms: 6a + 14a = 20a -7 + 4a = 12 + 20a Solving -7 + 4a = 12 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -7 + 4a + -20a = 12 + 20a + -20a Combine like terms: 4a + -20a = -16a -7 + -16a = 12 + 20a + -20a Combine like terms: 20a + -20a = 0 -7 + -16a = 12 + 0 -7 + -16a = 12 Add '7' to each side of the equation. -7 + 7 + -16a = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -16a = 12 + 7 -16a = 12 + 7 Combine like terms: 12 + 7 = 19 -16a = 19 Divide each side by '-16'. a = -1.1875 Simplifying a = -1.1875
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