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Simplifying -12t + -9 + 6t = 7t + -5 Reorder the terms: -9 + -12t + 6t = 7t + -5 Combine like terms: -12t + 6t = -6t -9 + -6t = 7t + -5 Reorder the terms: -9 + -6t = -5 + 7t Solving -9 + -6t = -5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -9 + -6t + -7t = -5 + 7t + -7t Combine like terms: -6t + -7t = -13t -9 + -13t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 -9 + -13t = -5 + 0 -9 + -13t = -5 Add '9' to each side of the equation. -9 + 9 + -13t = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -13t = -5 + 9 -13t = -5 + 9 Combine like terms: -5 + 9 = 4 -13t = 4 Divide each side by '-13'. t = -0.3076923077 Simplifying t = -0.3076923077
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