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Simplifying 2a + -9 = 7(-2 + 2a) + -7 Reorder the terms: -9 + 2a = 7(-2 + 2a) + -7 -9 + 2a = (-2 * 7 + 2a * 7) + -7 -9 + 2a = (-14 + 14a) + -7 Reorder the terms: -9 + 2a = -14 + -7 + 14a Combine like terms: -14 + -7 = -21 -9 + 2a = -21 + 14a Solving -9 + 2a = -21 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -9 + 2a + -14a = -21 + 14a + -14a Combine like terms: 2a + -14a = -12a -9 + -12a = -21 + 14a + -14a Combine like terms: 14a + -14a = 0 -9 + -12a = -21 + 0 -9 + -12a = -21 Add '9' to each side of the equation. -9 + 9 + -12a = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -12a = -21 + 9 -12a = -21 + 9 Combine like terms: -21 + 9 = -12 -12a = -12 Divide each side by '-12'. a = 1 Simplifying a = 1
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