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Simplifying -12t + -28 = 9t + 47 + -1(-4t) Reorder the terms: -28 + -12t = 9t + 47 + -1(-4t) Remove parenthesis around (-4t) -28 + -12t = 9t + 47 + -1 * -4t Multiply -1 * -4 -28 + -12t = 9t + 47 + 4t Reorder the terms: -28 + -12t = 47 + 9t + 4t Combine like terms: 9t + 4t = 13t -28 + -12t = 47 + 13t Solving -28 + -12t = 47 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -28 + -12t + -13t = 47 + 13t + -13t Combine like terms: -12t + -13t = -25t -28 + -25t = 47 + 13t + -13t Combine like terms: 13t + -13t = 0 -28 + -25t = 47 + 0 -28 + -25t = 47 Add '28' to each side of the equation. -28 + 28 + -25t = 47 + 28 Combine like terms: -28 + 28 = 0 0 + -25t = 47 + 28 -25t = 47 + 28 Combine like terms: 47 + 28 = 75 -25t = 75 Divide each side by '-25'. t = -3 Simplifying t = -3
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