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Simplifying -222 = 6(7a + -2) Reorder the terms: -222 = 6(-2 + 7a) -222 = (-2 * 6 + 7a * 6) -222 = (-12 + 42a) Solving -222 = -12 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. -222 + -42a = -12 + 42a + -42a Combine like terms: 42a + -42a = 0 -222 + -42a = -12 + 0 -222 + -42a = -12 Add '222' to each side of the equation. -222 + 222 + -42a = -12 + 222 Combine like terms: -222 + 222 = 0 0 + -42a = -12 + 222 -42a = -12 + 222 Combine like terms: -12 + 222 = 210 -42a = 210 Divide each side by '-42'. a = -5 Simplifying a = -5
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